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If the population of a town is p in the beginning of any year then it becomes 3 + 2p in the beginning of the next year. If the population in the beginning of 2019 is 1000, then the population in the beginning of 2034 will be1. (1003)215 – 32. (9972)14 +33. (1003)15 + 64. (997)15 – 3 |
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Answer» Correct Answer - Option 1 : (1003)215 – 3 Calculation: For 1st year, the population is P For 2nd year, population P2 = its 3 + 2P For 3rd year, P3 = 3 + 2P2 = 9 + 4P For 4th year, P4 = 3 + 2P3 = 3 + 2(3 + 2P2) = 21 + 8P For nth year, we see, the pattern or the formula for population here is: 3(2n-1– 1) + 2n-1P Then, 2034 will be 16th term of the series Population in 2034 = 3(215– 1) + 215 × 1000 ⇒ 215(1003) – 3 ∴ The population at the beginning of 2034 will be 215(1003) – 3 |
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